Chapter 8.5, Problem 14HP

To determine

To state:The rate of change and make a graph

Answer to Problem 14HP

  

The rate of change is 3.

Explanation of Solution

Given: 3-unit increase in y for every 1-unit increase in x .

Calculation:

Consider that there is an increase of 3 units in the y axis per 1 unit change in the x axis.

Let us make a simple chart where there are a set of numbers in the x axis and their corresponding values for y axis.

x	y
0	0
1	3
2	6
3	9
4	12
5	15
6	18
7	21

Plotting the following values, the following graph is plotted:

  

The rate of change of the values in a straight line is its slope.

The slope of a straight line is given by the formula:

  $\begin{array}{l}\text{slope(}m)=\frac{\text{chnage in y}}{\text{change in x}}\\ \text{ =}\frac{3}{1}\\ \text{ =3}\end{array}$

Conclusion:Therefore, the rate of change is 3.